Finite Group Databasebeta

← C71×#36794 #31857666

Subgroups — C71×#36794 #31857666

Order 18176.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C71×#2849C211yesmaximal, characteristic, complemented
2C71×#2847C211yesmaximal, characteristic, complemented
3C71×#2797C211yesmaximal, characteristic, complemented
4C71×#2786C211yesmaximal, characteristic, complemented
5C71×#2756C211yesmaximal, characteristic, complemented
6C71×#2753C211yesmaximal, characteristic, complemented
7C71×#2752C211yesmaximal, characteristic, complemented
8C71×#2749C211yesmaximal, characteristic, complemented
9C71×#2740C211yesmaximal, characteristic, complemented
10C71×#2709C211yesmaximal, characteristic, complemented
11C71×#2709C211yesmaximal, characteristic, complemented
12C71×#2706C211yesmaximal, characteristic, complemented
13C71×#2703C211yesmaximal, characteristic, complemented
14C71×#2699C211yesmaximal, characteristic, complemented
15C71×#2688C211yesmaximal, characteristic, complemented
16C71×#2673C211yesmaximal, characteristic, complemented
17C71×#2673C211yesmaximal, characteristic, complemented
18C71×#2671C211yesmaximal, characteristic, complemented
19C71×#2622C211yesmaximal, characteristic, complemented
20C71×#2617C211yesmaximal, characteristic, complemented
21C71×#2569C211yesmaximal, characteristic, complemented
22C71×#2543C211yesmaximal, characteristic, complemented
23C71×#2433C211yesmaximal, characteristic, complemented
24C71×#2424C211yesmaximal, characteristic, complemented
25C71×#2424C211yesmaximal, characteristic, complemented
26C71×#2418C211yesmaximal, characteristic, complemented
27C71×#2418C211yesmaximal, characteristic, complemented
28C71×#2408C211yesmaximal, characteristic, complemented
29C71×#2325C211yesmaximal, characteristic, complemented
30C71×#2318C211yesmaximal, characteristic, complemented
31C2×#386×C71C211yesmaximal, characteristic, complemented
32C23×D4×C71C2211yescharacteristic
33C24×C4×C71C2211yescharacteristic
34C2×#127×C71C2211yescharacteristic
35C2×#127×C71C2211yescharacteristic
36C2×#123×C71C2211yescharacteristic, complemented
37C2×#123×C71C2211yescharacteristic, complemented
38C2×#123×C71C2211yescharacteristic, complemented
39C2×#123×C71C2211yescharacteristic, complemented
40C2×#121×C71C2211yescharacteristic
41C2×#121×C71C2211yescharacteristic
42C2×#121×C71C2211yescharacteristic
43C2×#121×C71C2211yescharacteristic
44C2×#121×C71C2211yescharacteristic
45C2×#121×C71C2211yescharacteristic, complemented
46C2×#121×C71C2211yescharacteristic, complemented
47C2×#121×C71C2211yescharacteristic, complemented
48C2×#121×C71C2211yescharacteristic, complemented
49C2×#120×C71C2211yescharacteristic
50C2×#120×C71C2211yescharacteristic
51C2×#120×C71C2211yescharacteristic
52C2×#120×C71C2211yescharacteristic
53C2×#120×C71C2211yescharacteristic
54C2×#120×C71C2211yescharacteristic
55C2×C4×D4×C71C2211yescharacteristic
56C2×C4×D4×C71C2211yescharacteristic
57C2×C4×D4×C71C2211yescharacteristic
58C22×C22⋊C4×C71C2211yescharacteristic
59C22×C22⋊C4×C71C2211yescharacteristic
60C22×C22⋊C4×C71C2211yescharacteristic
61#400×C71C2211yescharacteristic, complemented
62#400×C71C2211yescharacteristic, complemented
63#399×C71C2211yescharacteristic, complemented
64#399×C71C2211yescharacteristic, complemented
65#398×C71C2211yescharacteristic, complemented
66#398×C71C2211yescharacteristic, complemented
67#398×C71C2211yescharacteristic, complemented
68#397×C71C2211yescharacteristic, complemented
69#397×C71C2211yescharacteristic, complemented
70#397×C71C2211yescharacteristic, complemented
71#397×C71C2211yescharacteristic, complemented
72#397×C71C2211yescharacteristic, complemented
73#397×C71C2211yescharacteristic, complemented
74#397×C71C2211yescharacteristic, complemented
75#397×C71C2211yescharacteristic, complemented
76#397×C71C2211yescharacteristic, complemented
77#396×C71C2211yescharacteristic, complemented
78#396×C71C2211yescharacteristic, complemented
79#394×C71C2211yescharacteristic
80#394×C71C2211yescharacteristic
81#394×C71C2211yescharacteristic, complemented
82#394×C71C2211yescharacteristic, complemented
83#394×C71C2211yescharacteristic, complemented
84#394×C71C2211yescharacteristic, complemented
85#394×C71C2211yescharacteristic, complemented
86#394×C71C2211yescharacteristic, complemented
87#394×C71C2211yescharacteristic, complemented
88#394×C71C2211yescharacteristic, complemented
89#394×C71C2211yescharacteristic, complemented
90#394×C71C2211yescharacteristic, complemented
91#394×C71C2211yescharacteristic, complemented
92#394×C71C2211yescharacteristic, complemented
93#394×C71C2211yescharacteristic, complemented
94#394×C71C2211yescharacteristic, complemented
95#394×C71C2211yescharacteristic, complemented
96#394×C71C2211yescharacteristic, complemented
97#394×C71C2211yescharacteristic, complemented
98#392×C71C2211yescharacteristic
99#392×C71C2211yescharacteristic
100#392×C71C2211yescharacteristic
101#392×C71C2211yescharacteristic
102#392×C71C2211yescharacteristic
103#392×C71C2211yescharacteristic
104#392×C71C2211yescharacteristic, complemented
105#392×C71C2211yescharacteristic, complemented
106#392×C71C2211yescharacteristic, complemented
107#392×C71C2211yescharacteristic, complemented
108#392×C71C2211yescharacteristic, complemented
109#390×C71C2211yescharacteristic
110#390×C71C2211yescharacteristic
111#390×C71C2211yescharacteristic
112#390×C71C2211yescharacteristic
113#390×C71C2211yescharacteristic, complemented
114#390×C71C2211yescharacteristic, complemented
115#388×C71C2211yescharacteristic, complemented
116#388×C71C2211yescharacteristic, complemented
117#388×C71C2211yescharacteristic, complemented
118#388×C71C2211yescharacteristic, complemented
119#388×C71C2211yescharacteristic, complemented
120#388×C71C2211yescharacteristic, complemented
121#388×C71C2211yescharacteristic, complemented
122#388×C71C2211yescharacteristic, complemented
123#388×C71C2211yescharacteristic, complemented
124#388×C71C2211yescharacteristic, complemented
125#388×C71C2211yescharacteristic, complemented
126#388×C71C2211yescharacteristic, complemented
127#387×C71C2211yescharacteristic, complemented
128#387×C71C2211yescharacteristic, complemented
129#387×C71C2211yescharacteristic, complemented
130#387×C71C2211yescharacteristic, complemented
131#387×C71C2211yescharacteristic, complemented
132#387×C71C2211yescharacteristic, complemented
133#387×C71C2211yescharacteristic, complemented
134#387×C71C2211yescharacteristic, complemented
135#386×C71C2211yescharacteristic
136#386×C71C2211yescharacteristic
137#386×C71C2211yescharacteristic
138#386×C71C2211yescharacteristic
139#386×C71C2211yescharacteristic
140#386×C71C2211yescharacteristic
141#386×C71C2211yescharacteristic
142#386×C71C2211yescharacteristic
143#386×C71C2211yescharacteristic
144#386×C71C2211yescharacteristic
145#386×C71C2211yescharacteristic
146#386×C71C2211yescharacteristic
147#386×C71C2211yescharacteristic
148#386×C71C2211yescharacteristic
149#386×C71C2211yescharacteristic, complemented
150#386×C71C2211yescharacteristic, complemented
151#386×C71C2211yescharacteristic, complemented
152#386×C71C2211yescharacteristic, complemented
153#386×C71C2211yescharacteristic, complemented
154#386×C71C2211yescharacteristic, complemented
155#386×C71C2211yescharacteristic, complemented
156#386×C71C2211yescharacteristic, complemented
157#386×C71C2211yescharacteristic, complemented
158#386×C71C2211yescharacteristic, complemented
159#386×C71C2211yescharacteristic, complemented
160#386×C71C2211yescharacteristic, complemented
161#386×C71C2211yescharacteristic, complemented
162#386×C71C2211yescharacteristic, complemented
163#385×C71C2211yescharacteristic
164#385×C71C2211yescharacteristic
165#385×C71C2211yescharacteristic
166#385×C71C2211yescharacteristic
167#385×C71C2211yescharacteristic, complemented
168#385×C71C2211yescharacteristic, complemented
169#385×C71C2211yescharacteristic, complemented
170#385×C71C2211yescharacteristic, complemented
171#383×C71C2211yescharacteristic, complemented
172#382×C71C2211yescharacteristic, complemented
173#381×C71C2211yescharacteristic, complemented
174#381×C71C2211yescharacteristic, complemented
175#381×C71C2211yescharacteristic, complemented
176#380×C71C2211yescharacteristic
177#380×C71C2211yescharacteristic
178#380×C71C2211yescharacteristic
179#380×C71C2211yescharacteristic, complemented
180#380×C71C2211yescharacteristic, complemented
181#380×C71C2211yescharacteristic, complemented
182#379×C71C2211yescharacteristic
183#379×C71C2211yescharacteristic
184C4×C22⋊C4×C71C2211yescharacteristic
185C2×#95×C71C2211yescharacteristic
186C2×#95×C71C2211yescharacteristic
187C25×C71C2311yescharacteristic
188C25×C71C2311yescharacteristic
189C22×D4×C71—24no—
190C22×D4×C71—42no—
191C22×D4×C71—42no—
192C22×D4×C71C2311yescharacteristic
193C22×D4×C71C2311yescharacteristic
194C22×D4×C71C2311yescharacteristic
195C22×D4×C71C2311yescharacteristic
196C22×D4×C71C2311yescharacteristic
197C22×D4×C71C2311yescharacteristic
198C22×D4×C71C2311yescharacteristic
199C22×D4×C71C2311yescharacteristic
200C22×D4×C71C2311yescharacteristic
201C22×D4×C71C2311yescharacteristic
202C22×D4×C71C2311yescharacteristic
203C22×D4×C71C2311yescharacteristic
204C22×D4×C71C2311yescharacteristic
205C22×D4×C71C2311yescharacteristic
206C22×D4×C71C2311yescharacteristic
207C22×D4×C71C2311yescharacteristic
208C22×D4×C71C2311yescharacteristic
209C22×D4×C71C2311yescharacteristic
210C22×D4×C71C2311yescharacteristic
211C22×D4×C71C2311yescharacteristic
212C22×D4×C71C2311yescharacteristic
213C22×D4×C71C2311yescharacteristic
214C23×C4×C71—42no—
215C23×C4×C71—42no—
216C23×C4×C71—42no—
217C23×C4×C71C2311yescharacteristic
218C23×C4×C71C2311yescharacteristic
219C23×C4×C71C2311yescharacteristic
220C23×C4×C71C2311yescharacteristic
221C23×C4×C71C2311yescharacteristic
222C23×C4×C71C2311yescharacteristic
223C23×C4×C71C2311yescharacteristic
224C23×C4×C71C2311yescharacteristic
225C23×C4×C71C2311yescharacteristic
226C23×C4×C71C2311yescharacteristic
227C23×C4×C71C2311yescharacteristic
228C23×C4×C71C2311yescharacteristic
229#127×C71—42no—
230#127×C71—42no—
231#123×C71—42no—
232#123×C71—42no—
233#123×C71—42no—
234#123×C71—42no—
235#121×C71—24no—
236#121×C71—42no—
237#121×C71—42no—
238#121×C71—42no—
239#121×C71—42no—
240#121×C71—42no—
241#121×C71—42no—
242#121×C71—42no—
243#121×C71—42no—
244#120×C71—42no—
245#120×C71—42no—
246#120×C71—42no—
247#120×C71—42no—
248#120×C71—42no—
249#120×C71—42no—
250C4×D4×C71—24no—
251C4×D4×C71—42no—
252C4×D4×C71—42no—
253C2×C4⋊C4×C71C2311yescharacteristic
254C2×C4⋊C4×C71C2311yescharacteristic
255C2×C4⋊C4×C71C2311yescharacteristic
256C2×C4⋊C4×C71C2311yescharacteristic
257C2×C4⋊C4×C71C2311yescharacteristic
258C2×C4⋊C4×C71C2311yescharacteristic
259C2×C4⋊C4×C71C2311yescharacteristic
260C2×C4⋊C4×C71C2311yescharacteristic
261C2×C4⋊C4×C71C2311yescharacteristic
262C2×C4⋊C4×C71C2311yescharacteristic
263C2×C4⋊C4×C71C2311yescharacteristic
264C2×C4⋊C4×C71C2311yescharacteristic
265C2×C4⋊C4×C71C2311yescharacteristic
266C2×C4⋊C4×C71C2311yescharacteristic
267C2×C4⋊C4×C71C2311yescharacteristic
268C2×C4⋊C4×C71C2311yescharacteristic
269C2×C4⋊C4×C71C2311yescharacteristic
270C2×C4⋊C4×C71C2311yescharacteristic
271C2×C4⋊C4×C71C2311yescharacteristic
272C2×C4⋊C4×C71C2311yescharacteristic
273C2×C22⋊C4×C71—42no—
274C2×C22⋊C4×C71—42no—
275C2×C22⋊C4×C71—42no—
276C2×C22⋊C4×C71C2311yescharacteristic
277C2×C22⋊C4×C71C2311yescharacteristic
278C2×C22⋊C4×C71C2311yescharacteristic
279C2×C22⋊C4×C71C2311yescharacteristic
280C2×C22⋊C4×C71C2311yescharacteristic
281C2×C22⋊C4×C71C2311yescharacteristic
282C2×C22⋊C4×C71C2311yescharacteristic
283C2×C22⋊C4×C71C2311yescharacteristic
284C2×C22⋊C4×C71C2311yescharacteristic
285C2×C22⋊C4×C71C2311yescharacteristic
286C2×C22⋊C4×C71C2311yescharacteristic
287C2×C22⋊C4×C71C2311yescharacteristic
288C2×C22⋊C4×C71C2311yescharacteristic
289C2×C22⋊C4×C71C2311yescharacteristic
290C2×C22⋊C4×C71C2311yescharacteristic
291C2×C22⋊C4×C71C2311yescharacteristic
292C2×C22⋊C4×C71C2311yescharacteristic
293C2×C22⋊C4×C71C2311yescharacteristic
294C2×C22⋊C4×C71C2311yescharacteristic
295C2×C22⋊C4×C71C2311yescharacteristic
296C2×C22⋊C4×C71C2311yescharacteristic
297C2×C22⋊C4×C71C2311yescharacteristic
298C2×C22⋊C4×C71C2311yescharacteristic
299C2×C22⋊C4×C71C2311yescharacteristic
300C2×C22⋊C4×C71C2311yescharacteristic
301C2×C22⋊C4×C71C2311yescharacteristic
302C2×C22⋊C4×C71C2311yescharacteristic
303C2×C22⋊C4×C71C2311yescharacteristic
304C2×C22⋊C4×C71C2311yescharacteristic
305C2×C22⋊C4×C71C2311yescharacteristic
306C2×C22⋊C4×C71C2311yescharacteristic
307C2×C22⋊C4×C71C2311yescharacteristic
308C2×C22⋊C4×C71C2311yescharacteristic
309C2×C22⋊C4×C71C2311yescharacteristic
310C2×C22⋊C4×C71C2311yescharacteristic
311C2×C22⋊C4×C71C2311yescharacteristic
312C2×C22⋊C4×C71C2311yescharacteristic
313C2×C22⋊C4×C71C2311yescharacteristic
314C2×C22⋊C4×C71C2311yescharacteristic
315C2×C22⋊C4×C71C2311yescharacteristic
316C2×C22⋊C4×C71C2311yescharacteristic
317C2×C22⋊C4×C71C2311yescharacteristic
318C2×C22⋊C4×C71C2311yescharacteristic
319C2×C22⋊C4×C71C2311yescharacteristic
320C2×C22⋊C4×C71C2311yescharacteristic
321C2×C22⋊C4×C71C2311yescharacteristic
322C2×C22⋊C4×C71C2311yescharacteristic
323C2×C22⋊C4×C71C2311yescharacteristic
324C2×C22⋊C4×C71C2311yescharacteristic
325C2×C22⋊C4×C71C2311yescharacteristic
326C2×C22⋊C4×C71C2311yescharacteristic
327C2×C22⋊C4×C71C2311yescharacteristic
328C2×C22⋊C4×C71C2311yescharacteristic
329C2×C22⋊C4×C71C2311yescharacteristic
330C2×C22⋊C4×C71C2311yescharacteristic
331C2×C22⋊C4×C71C2311yescharacteristic
332C2×C22⋊C4×C71C2311yescharacteristic
333C2×C22⋊C4×C71C2311yescharacteristic
334C2×C42×C71C2311yescharacteristic
335C2×C42×C71C2311yescharacteristic
336C2×C42×C71C2311yescharacteristic
337C2×C42×C71C2311yescharacteristic
338C2×C42×C71C2311yescharacteristic
339#95×C71C2311yescharacteristic
340#95×C71C2311yescharacteristic
341#95×C71C2311yescharacteristic
342#95×C71C2311yescharacteristic
343#95×C71C2311yescharacteristic
344#95×C71C2311yescharacteristic
345#95×C71C2311yescharacteristic
346#95×C71C2311yescharacteristic
347#95×C71C2311yescharacteristic
348#95×C71C2311yescharacteristic
349#95×C71C2311yescharacteristic
350#95×C71C2311yescharacteristic
351#95×C71C2311yescharacteristic
352#95×C71C2311yescharacteristic
353#95×C71C2311yescharacteristic
354#95×C71C2311yescharacteristic
355#95×C71C2311yescharacteristic
356#95×C71C2311yescharacteristic
357#95×C71C2311yescharacteristic
358#95×C71C2311yescharacteristic
359#95×C71C2311yescharacteristic
360#95×C71C2311yescharacteristic
361#95×C71C2311yescharacteristic
362#95×C71C2311yescharacteristic
363#95×C71C2311yescharacteristic
364#95×C71C2311yescharacteristic
365#95×C71C2311yescharacteristic
366#95×C71C2311yescharacteristic
367#95×C71C2311yescharacteristic
368#95×C71C2311yescharacteristic
369#95×C71C2311yescharacteristic
370#95×C71C2311yescharacteristic
371#95×C71C2311yescharacteristic
372#95×C71C2311yescharacteristic
373#95×C71C2311yescharacteristic
374#95×C71C2311yescharacteristic
375C24×C71—22no—
376C24×C71—22no—
377C24×C71—22no—
378C24×C71—22no—
379C24×C71—22no—
380C24×C71—22no—
381C24×C71—22no—
382C24×C71—22no—
383C24×C71—41no—
384C24×C71—41no—
385C24×C71—41no—
386C24×C71—41no—
387C24×C71—41no—
388C24×C71—41no—
389C24×C71C2411yescharacteristic
390C24×C71C2411yescharacteristic
391C24×C71C2411yescharacteristic
392C24×C71C2411yescharacteristic
393C24×C71C2411yescharacteristic
394C24×C71C2411yescharacteristic
395C24×C71C2411yescharacteristic
396C24×C71C2411yescharacteristic
397C2×D4×C71—22no—
398C2×D4×C71—22no—
399C2×D4×C71—22no—
400C2×D4×C71—22no—
401C2×D4×C71—22no—
402C2×D4×C71—22no—
403C2×D4×C71—22no—
404C2×D4×C71—22no—
405C2×D4×C71—22no—
406C2×D4×C71—22no—
407C2×D4×C71—22no—
408C2×D4×C71—22no—
409C2×D4×C71—22no—
410C2×D4×C71—22no—
411C2×D4×C71—22no—
412C2×D4×C71—22no—
413C2×D4×C71—22no—
414C2×D4×C71—22no—
415C2×D4×C71—22no—
416C2×D4×C71—22no—
417C2×D4×C71—22no—
418C2×D4×C71—22no—
419C2×D4×C71—22no—
420C2×D4×C71—22no—
421C2×D4×C71—22no—
422C2×D4×C71—41no—
423C2×D4×C71—41no—
424C2×D4×C71—41no—
425C2×D4×C71—41no—
426C2×D4×C71—41no—
427C2×D4×C71—41no—
428C2×D4×C71—41no—
429C2×D4×C71—41no—
430C2×D4×C71—41no—
431C2×D4×C71—41no—
432C2×D4×C71—41no—
433C2×D4×C71—41no—
434C2×D4×C71—41no—
435C2×D4×C71—41no—
436C2×D4×C71—41no—
437C2×D4×C71—41no—
438C2×D4×C71—41no—
439C2×D4×C71—41no—
440C2×D4×C71—41no—
441C2×D4×C71—41no—
442C2×D4×C71—41no—
443C2×D4×C71—41no—
444C2×D4×C71—41no—
445C2×D4×C71—41no—
446C2×D4×C71—41no—
447C2×D4×C71—41no—
448C2×D4×C71—41no—
449C2×D4×C71—41no—
450C2×D4×C71—41no—
451C2×D4×C71—41no—
452C2×D4×C71—41no—
453C2×D4×C71—41no—
454C2×D4×C71—41no—
455C2×D4×C71—41no—
456C2×D4×C71—41no—
457C2×D4×C71—41no—
458C2×D4×C71—41no—
459C2×D4×C71—41no—
460C2×D4×C71—41no—
461C2×D4×C71—41no—
462C2×D4×C71—41no—
463C2×D4×C71—416no—
464C22×C4×C71—22no—
465C22×C4×C71—22no—
466C22×C4×C71—22no—
467C22×C4×C71—22no—
468C22×C4×C71—22no—
469C22×C4×C71—22no—
470C22×C4×C71—22no—
471C22×C4×C71—22no—
472C22×C4×C71—22no—
473C22×C4×C71—22no—
474C22×C4×C71—41no—
475C22×C4×C71—41no—
476C22×C4×C71—41no—
477C22×C4×C71—41no—
478C22×C4×C71—41no—
479C22×C4×C71—41no—
480C22×C4×C71—41no—
481C22×C4×C71—41no—
482C22×C4×C71—41no—
483C22×C4×C71—41no—
484C22×C4×C71—41no—
485C22×C4×C71—41no—
486C22×C4×C71—41no—
487C22×C4×C71—41no—
488C22×C4×C71—41no—
489C22×C4×C71—41no—
490C22×C4×C71—41no—
491C22×C4×C71—41no—
492C22×C4×C71—41no—
493C22×C4×C71—41no—
494C22×C4×C71—41no—
495C22×C4×C71—41no—
496C22×C4×C71—41no—
497C22×C4×C71—41no—
498C22×C4×C71—41no—
499C22×C4×C71—416no—
500C22×C4×C71#4114yes—
501C22×C4×C71C2411yescharacteristic
502C22×C4×C71C2411yescharacteristic
503C22×C4×C71C2411yescharacteristic
504C22×C4×C71C2411yescharacteristic
505C22×C4×C71C2411yescharacteristic
506C22×C4×C71C2411yescharacteristic
507C22×C4×C71C2411yescharacteristic
508C22×C4×C71C2411yescharacteristic
509C22×C4×C71C2411yescharacteristic
510C22×C4×C71C2411yescharacteristic
511C22×C4×C71C2411yescharacteristic
512C22×C4×C71C2411yescharacteristic
513C22×C4×C71C2411yescharacteristic
514C22×C4×C71C2411yescharacteristic
515C22×C4×C71C2411yescharacteristic
516C22×C4×C71C2411yescharacteristic
517C22×C4×C71C2411yescharacteristic
518C22×C4×C71C2411yescharacteristic
519C22×C4×C71C2411yescharacteristic
520C22×C4×C71C2411yescharacteristic
521C22×C4×C71C2411yescharacteristic
522C22×C4×C71C2411yescharacteristic
523C22×C4×C71C2411yescharacteristic
524C4⋊C4×C71—22no—
525C4⋊C4×C71—22no—
526C4⋊C4×C71—22no—
527C4⋊C4×C71—22no—
528C4⋊C4×C71—41no—
529C4⋊C4×C71—41no—
530C4⋊C4×C71—41no—
531C4⋊C4×C71—41no—
532C4⋊C4×C71—41no—
533C4⋊C4×C71—41no—
534C4⋊C4×C71—41no—
535C4⋊C4×C71—41no—
536C4⋊C4×C71—41no—
537C4⋊C4×C71—41no—
538C4⋊C4×C71—41no—
539C4⋊C4×C71—41no—
540C4⋊C4×C71—41no—
541C4⋊C4×C71—41no—
542C4⋊C4×C71—41no—
543C4⋊C4×C71—41no—
544C22⋊C4×C71—22no—
545C22⋊C4×C71—22no—
546C22⋊C4×C71—22no—
547C22⋊C4×C71—22no—
548C22⋊C4×C71—22no—
549C22⋊C4×C71—22no—
550C22⋊C4×C71—22no—
551C22⋊C4×C71—22no—
552C22⋊C4×C71—22no—
553C22⋊C4×C71—22no—
554C22⋊C4×C71—22no—
555C22⋊C4×C71—22no—
556C22⋊C4×C71—22no—
557C22⋊C4×C71—22no—
558C22⋊C4×C71—22no—
559C22⋊C4×C71—41no—
560C22⋊C4×C71—41no—
561C22⋊C4×C71—41no—
562C22⋊C4×C71—41no—
563C22⋊C4×C71—41no—
564C22⋊C4×C71—41no—
565C22⋊C4×C71—41no—
566C22⋊C4×C71—41no—
567C22⋊C4×C71—41no—
568C22⋊C4×C71—41no—
569C22⋊C4×C71—41no—
570C22⋊C4×C71—41no—
571C22⋊C4×C71—41no—
572C22⋊C4×C71—41no—
573C22⋊C4×C71—41no—
574C22⋊C4×C71—41no—
575C22⋊C4×C71—41no—
576C22⋊C4×C71—41no—
577C22⋊C4×C71—41no—
578C22⋊C4×C71—41no—
579C22⋊C4×C71—41no—
580C22⋊C4×C71—41no—
581C22⋊C4×C71—41no—
582C22⋊C4×C71—41no—
583C22⋊C4×C71—41no—
584C22⋊C4×C71—41no—
585C22⋊C4×C71—41no—
586C22⋊C4×C71—41no—
587C22⋊C4×C71—41no—
588C22⋊C4×C71—41no—
589C22⋊C4×C71—41no—
590C22⋊C4×C71—41no—
591C22⋊C4×C71—41no—
592C22⋊C4×C71—41no—
593C22⋊C4×C71—41no—
594C22⋊C4×C71—41no—
595C22⋊C4×C71—41no—
596C22⋊C4×C71—41no—
597C22⋊C4×C71—41no—
598C22⋊C4×C71—41no—
599C22⋊C4×C71—41no—
600C22⋊C4×C71—41no—
601C22⋊C4×C71—41no—
602C42×C71—22no—
603C42×C71—41no—
604C42×C71—41no—
605C42×C71—41no—
606C42×C71—41no—
607C23×C71—21no—
608C23×C71—21no—
609C23×C71—21no—
610C23×C71—21no—
611C23×C71—28no—
612C23×C71—21no—
613C23×C71—21no—
614C23×C71—21no—
615C23×C71—21no—
616C23×C71—21no—
617C23×C71—21no—
618C23×C71—21no—
619C23×C71—21no—
620C23×C71—21no—
621C23×C71—21no—
622C23×C71—21no—
623C23×C71—21no—
624C23×C71—21no—
625C23×C71—21no—
626C23×C71—21no—
627C23×C71—21no—
628C23×C71—21no—
629C23×C71—21no—
630C23×C71—21no—
631C23×C71—21no—
632C23×C71—21no—
633C23×C71—21no—
634C23×C71—21no—
635C23×C71—21no—
636C23×C71—21no—
637C23×C71—21no—
638C23×C71—21no—
639C23×C71—21no—
640C23×C71—21no—
641C23×C71—21no—
642C23×C71—21no—
643C23×C71—21no—
644C23×C71—21no—
645C23×C71—21no—
646C23×C71—21no—
647C23×C71—21no—
648C23×C71—21no—
649C23×C71—21no—
650C23×C71—21no—
651C23×C71—21no—
652C23×C71—21no—
653C23×C71—21no—
654C23×C71—21no—
655C23×C71—21no—
656C23×C71—21no—
657C23×C71—21no—
658C23×C71—21no—
659C23×C71—44no—
660C23×C71—44no—
661C23×C71—44no—
662C23×C71—44no—
663C23×C71—44no—
664C23×C71—44no—
665C23×C71—44no—
666C23×C71—44no—
667C23×C71—44no—
668C23×C71—82no—
669C23×C71—82no—
670C23×C71—82no—
671C23×C71—82no—
672C23×C71C2×#4112yes—
673C23×C71H(5,𝔽2)12yes—
674C23×C71H(5,𝔽2)12yes—
675C23×C71H(5,𝔽2)12yes—
676C23×C71H(5,𝔽2)12yes—
677C23×C71C2511yescharacteristic
678D4×C71—44no—
679D4×C71—44no—
680D4×C71—44no—
681D4×C71—44no—
682D4×C71—44no—
683D4×C71—44no—
684D4×C71—44no—
685D4×C71—82no—
686D4×C71—82no—
687D4×C71—82no—
688D4×C71—82no—
689D4×C71—82no—
690D4×C71—82no—
691D4×C71—82no—
692D4×C71—82no—
693D4×C71—82no—
694D4×C71—82no—
695D4×C71—82no—
696D4×C71—82no—
697D4×C71—82no—
698D4×C71—82no—
699D4×C71—82no—
700C2×C4×C71—21no—
701C2×C4×C71—21no—
702C2×C4×C71—21no—
703C2×C4×C71—21no—
704C2×C4×C71—21no—
705C2×C4×C71—21no—
706C2×C4×C71—21no—
707C2×C4×C71—21no—
708C2×C4×C71—21no—
709C2×C4×C71—21no—
710C2×C4×C71—21no—
711C2×C4×C71—21no—
712C2×C4×C71—21no—
713C2×C4×C71—21no—
714C2×C4×C71—21no—
715C2×C4×C71—21no—
716C2×C4×C71—21no—
717C2×C4×C71—21no—
718C2×C4×C71—21no—
719C2×C4×C71—21no—
720C2×C4×C71—21no—
721C2×C4×C71—21no—
722C2×C4×C71—21no—
723C2×C4×C71—21no—
724C2×C4×C71—21no—
725C2×C4×C71—21no—
726C2×C4×C71—21no—
727C2×C4×C71—21no—
728C2×C4×C71—21no—
729C2×C4×C71—21no—
730C2×C4×C71—21no—
731C2×C4×C71—21no—
732C2×C4×C71—21no—
733C2×C4×C71—21no—
734C2×C4×C71—21no—
735C2×C4×C71—21no—
736C2×C4×C71—21no—
737C2×C4×C71—21no—
738C2×C4×C71—21no—
739C2×C4×C71—21no—
740C2×C4×C71—21no—
741C2×C4×C71—21no—
742C2×C4×C71—21no—
743C2×C4×C71—21no—
744C2×C4×C71—21no—
745C2×C4×C71—21no—
746C2×C4×C71—21no—
747C2×C4×C71—21no—
748C2×C4×C71—21no—
749C2×C4×C71—21no—
750C2×C4×C71—21no—
751C2×C4×C71—21no—
752C2×C4×C71—21no—
753C2×C4×C71—21no—
754C2×C4×C71—21no—
755C2×C4×C71—21no—
756C2×C4×C71—21no—
757C2×C4×C71—21no—
758C2×C4×C71—21no—
759C2×C4×C71—21no—
760C2×C4×C71—21no—
761C2×C4×C71—21no—
762C2×C4×C71—21no—
763C2×C4×C71—21no—
764C2×C4×C71—21no—
765C2×C4×C71—21no—
766C2×C4×C71—44no—
767C2×C4×C71—44no—
768C2×C4×C71—44no—
769C2×C4×C71—44no—
770C2×C4×C71—44no—
771C2×C4×C71—44no—
772C2×C4×C71—44no—
773C2×C4×C71—82no—
774C2×C4×C71—82no—
775C2×C4×C71—82no—
776C2×C4×C71—82no—
777C2×C4×C71—82no—
778C2×C4×C71C2×#4112yes—
779C2×C4×C71C2×#4112yes—
780C2×C4×C71H(5,𝔽2)12yes—
781C22×C71—22no—
782C22×C71—22no—
783C22×C71—22no—
784C22×C71—22no—
785C22×C71—22no—
786C22×C71—22no—
787C22×C71—22no—
788C22×C71—22no—
789C22×C71—22no—
790C22×C71—22no—
791C22×C71—22no—
792C22×C71—22no—
793C22×C71—416no—
794C22×C71—41no—
795C22×C71—41no—
796C22×C71—41no—
797C22×C71—41no—
798C22×C71—41no—
799C22×C71—41no—
800C22×C71—41no—
801C22×C71—41no—
802C22×C71—41no—
803C22×C71—41no—
804C22×C71—41no—
805C22×C71—41no—
806C22×C71—41no—
807C22×C71—41no—
808C22×C71—41no—
809C22×C71—41no—
810C22×C71—41no—
811C22×C71—41no—
812C22×C71—41no—
813C22×C71—41no—
814C22×C71—41no—
815C22×C71—41no—
816C22×C71—41no—
817C22×C71—41no—
818C22×C71—41no—
819C22×C71—41no—
820C22×C71—41no—
821C22×C71—41no—
822C22×C71—41no—
823C22×C71—41no—
824C22×C71—41no—
825C22×C71—41no—
826C22×C71—41no—
827C22×C71—41no—
828C22×C71—41no—
829C22×C71—41no—
830C22×C71—41no—
831C22×C71—41no—
832C22×C71—41no—
833C22×C71—41no—
834C22×C71—41no—
835C22×C71—41no—
836C22×C71—41no—
837C22×C71—88no—
838C22×C71#54014yes—
839C22×C71C22×#4111yescharacteristic
840C22×C71C2×H(5,𝔽2)11yescharacteristic
841C22×C71C2×H(5,𝔽2)11yescharacteristic
842C22×C71C2×H(5,𝔽2)11yescharacteristic
843C22×C71C2×H(5,𝔽2)11yescharacteristic
844C22×C71C2×H(5,𝔽2)11yescharacteristic
845C22×C71#58511yescharacteristic
846C4×C71—22no—
847C4×C71—22no—
848C4×C71—22no—
849C4×C71—41no—
850C4×C71—41no—
851C4×C71—41no—
852C4×C71—41no—
853C4×C71—41no—
854C4×C71—41no—
855C4×C71—41no—
856C4×C71—41no—
857C4×C71—41no—
858C4×C71—41no—
859C4×C71—41no—
860C4×C71—41no—
861C4×C71—41no—
862C4×C71—41no—
863C4×C71—41no—
864C4×C71—41no—
865C4×C71—41no—
866C4×C71—41no—
867C4×C71—41no—
868C4×C71—41no—
869#36794C7111yesmaximal, characteristic, direct product factor, Sylow
870C2×C71—24no—
871C2×C71—42no—
872C2×C71—42no—
873C2×C71—81no—
874C2×C71—81no—
875C2×C71—81no—
876C2×C71—81no—
877C2×C71—81no—
878C2×C71C2×#54011yescharacteristic
879C2×C71#349011yescharacteristic
880C2×C71#350611yescharacteristic
881C2×C71#353211yescharacteristic
882C2×C71#353411yescharacteristic
883C2×C71#353411yescharacteristic
884C2×C71#353711yescharacteristic
885#2849C2×C7111yescharacteristic, complemented
886#2847C2×C7111yescharacteristic, complemented
887#2797C2×C7111yescharacteristic, complemented
888#2786C2×C7111yescharacteristic, complemented
889#2756C2×C7111yescharacteristic, complemented
890#2753C2×C7111yescharacteristic, complemented
891#2752C2×C7111yescharacteristic, complemented
892#2749C2×C7111yescharacteristic, complemented
893#2740C2×C7111yescharacteristic, complemented
894#2709C2×C7111yescharacteristic, complemented
895#2709C2×C7111yescharacteristic, complemented
896#2706C2×C7111yescharacteristic, complemented
897#2703C2×C7111yescharacteristic, complemented
898#2699C2×C7111yescharacteristic, complemented
899#2688C2×C7111yescharacteristic, complemented
900#2673C2×C7111yescharacteristic, complemented
901#2673C2×C7111yescharacteristic, complemented
902#2671C2×C7111yescharacteristic, complemented
903#2622C2×C7111yescharacteristic, complemented
904#2617C2×C7111yescharacteristic, complemented
905#2569C2×C7111yescharacteristic, complemented
906#2543C2×C7111yescharacteristic, complemented
907#2433C2×C7111yescharacteristic, complemented
908#2424C2×C7111yescharacteristic, complemented
909#2424C2×C7111yescharacteristic, complemented
910#2418C2×C7111yescharacteristic, complemented
911#2418C2×C7111yescharacteristic, complemented
912#2408C2×C7111yescharacteristic, complemented
913#2325C2×C7111yescharacteristic, complemented
914#2318C2×C7111yescharacteristic, complemented
915C2×#386C2×C7111yescharacteristic, complemented
916C71#3679411yescharacteristic, direct product factor, Sylow
917C23×D4C22×C7111yescharacteristic
918C24×C4C22×C7111yescharacteristic
919C2×#127C22×C7111yescharacteristic
920C2×#127C22×C7111yescharacteristic
921C2×#123C22×C7111yescharacteristic, complemented
922C2×#123C22×C7111yescharacteristic, complemented
923C2×#123C22×C7111yescharacteristic, complemented
924C2×#123C22×C7111yescharacteristic, complemented
925C2×#121C22×C7111yescharacteristic
926C2×#121C22×C7111yescharacteristic
927C2×#121C22×C7111yescharacteristic
928C2×#121C22×C7111yescharacteristic
929C2×#121C22×C7111yescharacteristic
930C2×#121C22×C7111yescharacteristic, complemented
931C2×#121C22×C7111yescharacteristic, complemented
932C2×#121C22×C7111yescharacteristic, complemented
933C2×#121C22×C7111yescharacteristic, complemented
934C2×#120C22×C7111yescharacteristic
935C2×#120C22×C7111yescharacteristic
936C2×#120C22×C7111yescharacteristic
937C2×#120C22×C7111yescharacteristic
938C2×#120C22×C7111yescharacteristic
939C2×#120C22×C7111yescharacteristic
940C2×C4×D4C22×C7111yescharacteristic
941C2×C4×D4C22×C7111yescharacteristic
942C2×C4×D4C22×C7111yescharacteristic
943C22×C22⋊C4C22×C7111yescharacteristic
944C22×C22⋊C4C22×C7111yescharacteristic
945C22×C22⋊C4C22×C7111yescharacteristic
946#400C22×C7111yescharacteristic, complemented
947#400C22×C7111yescharacteristic, complemented
948#399C22×C7111yescharacteristic, complemented
949#399C22×C7111yescharacteristic, complemented
950#398C22×C7111yescharacteristic, complemented
951#398C22×C7111yescharacteristic, complemented
952#398C22×C7111yescharacteristic, complemented
953#397C22×C7111yescharacteristic, complemented
954#397C22×C7111yescharacteristic, complemented
955#397C22×C7111yescharacteristic, complemented
956#397C22×C7111yescharacteristic, complemented
957#397C22×C7111yescharacteristic, complemented
958#397C22×C7111yescharacteristic, complemented
959#397C22×C7111yescharacteristic, complemented
960#397C22×C7111yescharacteristic, complemented
961#397C22×C7111yescharacteristic, complemented
962#396C22×C7111yescharacteristic, complemented
963#396C22×C7111yescharacteristic, complemented
964#394C22×C7111yescharacteristic
965#394C22×C7111yescharacteristic
966#394C22×C7111yescharacteristic, complemented
967#394C22×C7111yescharacteristic, complemented
968#394C22×C7111yescharacteristic, complemented
969#394C22×C7111yescharacteristic, complemented
970#394C22×C7111yescharacteristic, complemented
971#394C22×C7111yescharacteristic, complemented
972#394C22×C7111yescharacteristic, complemented
973#394C22×C7111yescharacteristic, complemented
974#394C22×C7111yescharacteristic, complemented
975#394C22×C7111yescharacteristic, complemented
976#394C22×C7111yescharacteristic, complemented
977#394C22×C7111yescharacteristic, complemented
978#394C22×C7111yescharacteristic, complemented
979#394C22×C7111yescharacteristic, complemented
980#394C22×C7111yescharacteristic, complemented
981#394C22×C7111yescharacteristic, complemented
982#394C22×C7111yescharacteristic, complemented
983#392C22×C7111yescharacteristic
984#392C22×C7111yescharacteristic
985#392C22×C7111yescharacteristic
986#392C22×C7111yescharacteristic
987#392C22×C7111yescharacteristic
988#392C22×C7111yescharacteristic
989#392C22×C7111yescharacteristic, complemented
990#392C22×C7111yescharacteristic, complemented
991#392C22×C7111yescharacteristic, complemented
992#392C22×C7111yescharacteristic, complemented
993#392C22×C7111yescharacteristic, complemented
994#390C22×C7111yescharacteristic
995#390C22×C7111yescharacteristic
996#390C22×C7111yescharacteristic
997#390C22×C7111yescharacteristic
998#390C22×C7111yescharacteristic, complemented
999#390C22×C7111yescharacteristic, complemented
1000#388C22×C7111yescharacteristic, complemented
1001#388C22×C7111yescharacteristic, complemented
1002#388C22×C7111yescharacteristic, complemented
1003#388C22×C7111yescharacteristic, complemented
1004#388C22×C7111yescharacteristic, complemented
1005#388C22×C7111yescharacteristic, complemented
1006#388C22×C7111yescharacteristic, complemented
1007#388C22×C7111yescharacteristic, complemented
1008#388C22×C7111yescharacteristic, complemented
1009#388C22×C7111yescharacteristic, complemented
1010#388C22×C7111yescharacteristic, complemented
1011#388C22×C7111yescharacteristic, complemented
1012#387C22×C7111yescharacteristic, complemented
1013#387C22×C7111yescharacteristic, complemented
1014#387C22×C7111yescharacteristic, complemented
1015#387C22×C7111yescharacteristic, complemented
1016#387C22×C7111yescharacteristic, complemented
1017#387C22×C7111yescharacteristic, complemented
1018#387C22×C7111yescharacteristic, complemented
1019#387C22×C7111yescharacteristic, complemented
1020#386C22×C7111yescharacteristic
1021#386C22×C7111yescharacteristic
1022#386C22×C7111yescharacteristic
1023#386C22×C7111yescharacteristic
1024#386C22×C7111yescharacteristic
1025#386C22×C7111yescharacteristic
1026#386C22×C7111yescharacteristic
1027#386C22×C7111yescharacteristic
1028#386C22×C7111yescharacteristic
1029#386C22×C7111yescharacteristic
1030#386C22×C7111yescharacteristic
1031#386C22×C7111yescharacteristic
1032#386C22×C7111yescharacteristic
1033#386C22×C7111yescharacteristic
1034#386C22×C7111yescharacteristic, complemented
1035#386C22×C7111yescharacteristic, complemented
1036#386C22×C7111yescharacteristic, complemented
1037#386C22×C7111yescharacteristic, complemented
1038#386C22×C7111yescharacteristic, complemented
1039#386C22×C7111yescharacteristic, complemented
1040#386C22×C7111yescharacteristic, complemented
1041#386C22×C7111yescharacteristic, complemented
1042#386C22×C7111yescharacteristic, complemented
1043#386C22×C7111yescharacteristic, complemented
1044#386C22×C7111yescharacteristic, complemented
1045#386C22×C7111yescharacteristic, complemented
1046#386C22×C7111yescharacteristic, complemented
1047#386C22×C7111yescharacteristic, complemented
1048#385C22×C7111yescharacteristic
1049#385C22×C7111yescharacteristic
1050#385C22×C7111yescharacteristic
1051#385C22×C7111yescharacteristic
1052#385C22×C7111yescharacteristic, complemented
1053#385C22×C7111yescharacteristic, complemented
1054#385C22×C7111yescharacteristic, complemented
1055#385C22×C7111yescharacteristic, complemented
1056#383C22×C7111yescharacteristic, complemented
1057#382C22×C7111yescharacteristic, complemented
1058#381C22×C7111yescharacteristic, complemented
1059#381C22×C7111yescharacteristic, complemented
1060#381C22×C7111yescharacteristic, complemented
1061#380C22×C7111yescharacteristic
1062#380C22×C7111yescharacteristic
1063#380C22×C7111yescharacteristic
1064#380C22×C7111yescharacteristic, complemented
1065#380C22×C7111yescharacteristic, complemented
1066#380C22×C7111yescharacteristic, complemented
1067#379C22×C7111yescharacteristic
1068#379C22×C7111yescharacteristic
1069C4×C22⋊C4C22×C7111yescharacteristic
1070C2×#95C22×C7111yescharacteristic
1071C2×#95C22×C7111yescharacteristic
1072C25C23×C7111yescharacteristic
1073C25C23×C7111yescharacteristic
1074C22×D4—24no—
1075C22×D4—42no—
1076C22×D4—42no—
1077C22×D4C23×C7111yescharacteristic
1078C22×D4C23×C7111yescharacteristic
1079C22×D4C23×C7111yescharacteristic
1080C22×D4C23×C7111yescharacteristic
1081C22×D4C23×C7111yescharacteristic
1082C22×D4C23×C7111yescharacteristic
1083C22×D4C23×C7111yescharacteristic
1084C22×D4C23×C7111yescharacteristic
1085C22×D4C23×C7111yescharacteristic
1086C22×D4C23×C7111yescharacteristic
1087C22×D4C23×C7111yescharacteristic
1088C22×D4C23×C7111yescharacteristic
1089C22×D4C23×C7111yescharacteristic
1090C22×D4C23×C7111yescharacteristic
1091C22×D4C23×C7111yescharacteristic
1092C22×D4C23×C7111yescharacteristic
1093C22×D4C23×C7111yescharacteristic
1094C22×D4C23×C7111yescharacteristic
1095C22×D4C23×C7111yescharacteristic
1096C22×D4C23×C7111yescharacteristic
1097C22×D4C23×C7111yescharacteristic
1098C22×D4C23×C7111yescharacteristic
1099C23×C4—42no—
1100C23×C4—42no—
1101C23×C4—42no—
1102C23×C4C23×C7111yescharacteristic
1103C23×C4C23×C7111yescharacteristic
1104C23×C4C23×C7111yescharacteristic
1105C23×C4C23×C7111yescharacteristic
1106C23×C4C23×C7111yescharacteristic
1107C23×C4C23×C7111yescharacteristic
1108C23×C4C23×C7111yescharacteristic
1109C23×C4C23×C7111yescharacteristic
1110C23×C4C23×C7111yescharacteristic
1111C23×C4C23×C7111yescharacteristic
1112C23×C4C23×C7111yescharacteristic
1113C23×C4C23×C7111yescharacteristic
1114#127—42no—
1115#127—42no—
1116#123—42no—
1117#123—42no—
1118#123—42no—
1119#123—42no—
1120#121—24no—
1121#121—42no—
1122#121—42no—
1123#121—42no—
1124#121—42no—
1125#121—42no—
1126#121—42no—
1127#121—42no—
1128#121—42no—
1129#120—42no—
1130#120—42no—
1131#120—42no—
1132#120—42no—
1133#120—42no—
1134#120—42no—
1135C4×D4—24no—
1136C4×D4—42no—
1137C4×D4—42no—
1138C2×C4⋊C4C23×C7111yescharacteristic
1139C2×C4⋊C4C23×C7111yescharacteristic
1140C2×C4⋊C4C23×C7111yescharacteristic
1141C2×C4⋊C4C23×C7111yescharacteristic
1142C2×C4⋊C4C23×C7111yescharacteristic
1143C2×C4⋊C4C23×C7111yescharacteristic
1144C2×C4⋊C4C23×C7111yescharacteristic
1145C2×C4⋊C4C23×C7111yescharacteristic
1146C2×C4⋊C4C23×C7111yescharacteristic
1147C2×C4⋊C4C23×C7111yescharacteristic
1148C2×C4⋊C4C23×C7111yescharacteristic
1149C2×C4⋊C4C23×C7111yescharacteristic
1150C2×C4⋊C4C23×C7111yescharacteristic
1151C2×C4⋊C4C23×C7111yescharacteristic
1152C2×C4⋊C4C23×C7111yescharacteristic
1153C2×C4⋊C4C23×C7111yescharacteristic
1154C2×C4⋊C4C23×C7111yescharacteristic
1155C2×C4⋊C4C23×C7111yescharacteristic
1156C2×C4⋊C4C23×C7111yescharacteristic
1157C2×C4⋊C4C23×C7111yescharacteristic
1158C2×C22⋊C4—42no—
1159C2×C22⋊C4—42no—
1160C2×C22⋊C4—42no—
1161C2×C22⋊C4C23×C7111yescharacteristic
1162C2×C22⋊C4C23×C7111yescharacteristic
1163C2×C22⋊C4C23×C7111yescharacteristic
1164C2×C22⋊C4C23×C7111yescharacteristic
1165C2×C22⋊C4C23×C7111yescharacteristic
1166C2×C22⋊C4C23×C7111yescharacteristic
1167C2×C22⋊C4C23×C7111yescharacteristic
1168C2×C22⋊C4C23×C7111yescharacteristic
1169C2×C22⋊C4C23×C7111yescharacteristic
1170C2×C22⋊C4C23×C7111yescharacteristic
1171C2×C22⋊C4C23×C7111yescharacteristic
1172C2×C22⋊C4C23×C7111yescharacteristic
1173C2×C22⋊C4C23×C7111yescharacteristic
1174C2×C22⋊C4C23×C7111yescharacteristic
1175C2×C22⋊C4C23×C7111yescharacteristic
1176C2×C22⋊C4C23×C7111yescharacteristic
1177C2×C22⋊C4C23×C7111yescharacteristic
1178C2×C22⋊C4C23×C7111yescharacteristic
1179C2×C22⋊C4C23×C7111yescharacteristic
1180C2×C22⋊C4C23×C7111yescharacteristic
1181C2×C22⋊C4C23×C7111yescharacteristic
1182C2×C22⋊C4C23×C7111yescharacteristic
1183C2×C22⋊C4C23×C7111yescharacteristic
1184C2×C22⋊C4C23×C7111yescharacteristic
1185C2×C22⋊C4C23×C7111yescharacteristic
1186C2×C22⋊C4C23×C7111yescharacteristic
1187C2×C22⋊C4C23×C7111yescharacteristic
1188C2×C22⋊C4C23×C7111yescharacteristic
1189C2×C22⋊C4C23×C7111yescharacteristic
1190C2×C22⋊C4C23×C7111yescharacteristic
1191C2×C22⋊C4C23×C7111yescharacteristic
1192C2×C22⋊C4C23×C7111yescharacteristic
1193C2×C22⋊C4C23×C7111yescharacteristic
1194C2×C22⋊C4C23×C7111yescharacteristic
1195C2×C22⋊C4C23×C7111yescharacteristic
1196C2×C22⋊C4C23×C7111yescharacteristic
1197C2×C22⋊C4C23×C7111yescharacteristic
1198C2×C22⋊C4C23×C7111yescharacteristic
1199C2×C22⋊C4C23×C7111yescharacteristic
1200C2×C22⋊C4C23×C7111yescharacteristic
1201C2×C22⋊C4C23×C7111yescharacteristic
1202C2×C22⋊C4C23×C7111yescharacteristic
1203C2×C22⋊C4C23×C7111yescharacteristic
1204C2×C22⋊C4C23×C7111yescharacteristic
1205C2×C22⋊C4C23×C7111yescharacteristic
1206C2×C22⋊C4C23×C7111yescharacteristic
1207C2×C22⋊C4C23×C7111yescharacteristic
1208C2×C22⋊C4C23×C7111yescharacteristic
1209C2×C22⋊C4C23×C7111yescharacteristic
1210C2×C22⋊C4C23×C7111yescharacteristic
1211C2×C22⋊C4C23×C7111yescharacteristic
1212C2×C22⋊C4C23×C7111yescharacteristic
1213C2×C22⋊C4C23×C7111yescharacteristic
1214C2×C22⋊C4C23×C7111yescharacteristic
1215C2×C22⋊C4C23×C7111yescharacteristic
1216C2×C22⋊C4C23×C7111yescharacteristic
1217C2×C22⋊C4C23×C7111yescharacteristic
1218C2×C22⋊C4C23×C7111yescharacteristic
1219C2×C42C23×C7111yescharacteristic
1220C2×C42C23×C7111yescharacteristic
1221C2×C42C23×C7111yescharacteristic
1222C2×C42C23×C7111yescharacteristic
1223C2×C42C23×C7111yescharacteristic
1224#95C23×C7111yescharacteristic
1225#95C23×C7111yescharacteristic
1226#95C23×C7111yescharacteristic
1227#95C23×C7111yescharacteristic
1228#95C23×C7111yescharacteristic
1229#95C23×C7111yescharacteristic
1230#95C23×C7111yescharacteristic
1231#95C23×C7111yescharacteristic
1232#95C23×C7111yescharacteristic
1233#95C23×C7111yescharacteristic
1234#95C23×C7111yescharacteristic
1235#95C23×C7111yescharacteristic
1236#95C23×C7111yescharacteristic
1237#95C23×C7111yescharacteristic
1238#95C23×C7111yescharacteristic
1239#95C23×C7111yescharacteristic
1240#95C23×C7111yescharacteristic
1241#95C23×C7111yescharacteristic
1242#95C23×C7111yescharacteristic
1243#95C23×C7111yescharacteristic
1244#95C23×C7111yescharacteristic
1245#95C23×C7111yescharacteristic
1246#95C23×C7111yescharacteristic
1247#95C23×C7111yescharacteristic
1248#95C23×C7111yescharacteristic
1249#95C23×C7111yescharacteristic
1250#95C23×C7111yescharacteristic
1251#95C23×C7111yescharacteristic
1252#95C23×C7111yescharacteristic
1253#95C23×C7111yescharacteristic
1254#95C23×C7111yescharacteristic
1255#95C23×C7111yescharacteristic
1256#95C23×C7111yescharacteristic
1257#95C23×C7111yescharacteristic
1258#95C23×C7111yescharacteristic
1259#95C23×C7111yescharacteristic
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24C24×C7111yescharacteristic
1275C24C24×C7111yescharacteristic
1276C24C24×C7111yescharacteristic
1277C24C24×C7111yescharacteristic
1278C24C24×C7111yescharacteristic
1279C24C24×C7111yescharacteristic
1280C24C24×C7111yescharacteristic
1281C24C24×C7111yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—416no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—416no—
1385C22×C4#41×C7114yes—
1386C22×C4C24×C7111yescharacteristic
1387C22×C4C24×C7111yescharacteristic
1388C22×C4C24×C7111yescharacteristic
1389C22×C4C24×C7111yescharacteristic
1390C22×C4C24×C7111yescharacteristic
1391C22×C4C24×C7111yescharacteristic
1392C22×C4C24×C7111yescharacteristic
1393C22×C4C24×C7111yescharacteristic
1394C22×C4C24×C7111yescharacteristic
1395C22×C4C24×C7111yescharacteristic
1396C22×C4C24×C7111yescharacteristic
1397C22×C4C24×C7111yescharacteristic
1398C22×C4C24×C7111yescharacteristic
1399C22×C4C24×C7111yescharacteristic
1400C22×C4C24×C7111yescharacteristic
1401C22×C4C24×C7111yescharacteristic
1402C22×C4C24×C7111yescharacteristic
1403C22×C4C24×C7111yescharacteristic
1404C22×C4C24×C7111yescharacteristic
1405C22×C4C24×C7111yescharacteristic
1406C22×C4C24×C7111yescharacteristic
1407C22×C4C24×C7111yescharacteristic
1408C22×C4C24×C7111yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—41no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C42—22no—
1488C42—41no—
1489C42—41no—
1490C42—41no—
1491C42—41no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—28no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—44no—
1545C23—44no—
1546C23—44no—
1547C23—44no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—82no—
1554C23—82no—
1555C23—82no—
1556C23—82no—
1557C23C2×#41×C7112yes—
1558C23H(5,𝔽2)×C7112yes—
1559C23H(5,𝔽2)×C7112yes—
1560C23H(5,𝔽2)×C7112yes—
1561C23H(5,𝔽2)×C7112yes—
1562C23C25×C7111yescharacteristic
1563D4—44no—
1564D4—44no—
1565D4—44no—
1566D4—44no—
1567D4—44no—
1568D4—44no—
1569D4—44no—
1570D4—82no—
1571D4—82no—
1572D4—82no—
1573D4—82no—
1574D4—82no—
1575D4—82no—
1576D4—82no—
1577D4—82no—
1578D4—82no—
1579D4—82no—
1580D4—82no—
1581D4—82no—
1582D4—82no—
1583D4—82no—
1584D4—82no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—82no—
1659C2×C4—82no—
1660C2×C4—82no—
1661C2×C4—82no—
1662C2×C4—82no—
1663C2×C4C2×#41×C7112yes—
1664C2×C4C2×#41×C7112yes—
1665C2×C4H(5,𝔽2)×C7112yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—416no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—88no—
1723C22#540×C7114yes—
1724C22C22×#41×C7111yescharacteristic
1725C22C2×H(5,𝔽2)×C7111yescharacteristic
1726C22C2×H(5,𝔽2)×C7111yescharacteristic
1727C22C2×H(5,𝔽2)×C7111yescharacteristic
1728C22C2×H(5,𝔽2)×C7111yescharacteristic
1729C22C2×H(5,𝔽2)×C7111yescharacteristic
1730C22#585×C7111yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C2—24no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—81no—
1759C2—81no—
1760C2—81no—
1761C2—81no—
1762C2C2×#540×C7111yescharacteristic
1763C2C71×#349011yescharacteristic
1764C2C71×#350611yescharacteristic
1765C2C71×#353211yescharacteristic
1766C2C71×#353411yescharacteristic
1767C2C71×#353411yescharacteristic
1768C2C71×#353711yescharacteristic
subgroupG/H
center, socleC23×C71C25
commutator, Frattini, cosocleC23C25×C71
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C71 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C71×#2849C2semidirect
2. C71×#2847C2semidirect
3. C71×#2797C2semidirect
4. C71×#2786C2semidirect
5. C71×#2756C2semidirect
6. C71×#2753C2semidirect
7. C71×#2752C2semidirect
8. C71×#2749C2semidirect
9. C71×#2740C2semidirect
10. C71×#2709C2semidirect
11. C71×#2709C2semidirect
12. C71×#2706C2semidirect
13. C71×#2703C2semidirect
14. C71×#2699C2semidirect
15. C71×#2688C2semidirect
16. C71×#2673C2semidirect
17. C71×#2673C2semidirect
18. C71×#2671C2semidirect
19. C71×#2622C2semidirect
20. C71×#2617C2semidirect
21. C71×#2569C2semidirect
22. C71×#2543C2semidirect
23. C71×#2433C2semidirect
24. C71×#2424C2semidirect
25. C71×#2424C2semidirect
26. C71×#2418C2semidirect
27. C71×#2418C2semidirect
28. C71×#2408C2semidirect
29. C71×#2325C2semidirect
30. C71×#2318C2semidirect
31. C2×#386×C71C2semidirect
36. C2×#123×C71C22semidirect
37. C2×#123×C71C22semidirect
38. C2×#123×C71C22semidirect
39. C2×#123×C71C22semidirect
45. C2×#121×C71C22semidirect
46. C2×#121×C71C22semidirect
47. C2×#121×C71C22semidirect
48. C2×#121×C71C22semidirect
61. #400×C71C22semidirect
62. #400×C71C22semidirect
63. #399×C71C22semidirect
64. #399×C71C22semidirect
65. #398×C71C22semidirect
66. #398×C71C22semidirect
67. #398×C71C22semidirect
68. #397×C71C22semidirect
69. #397×C71C22semidirect
70. #397×C71C22semidirect
71. #397×C71C22semidirect
72. #397×C71C22semidirect
73. #397×C71C22semidirect
74. #397×C71C22semidirect
75. #397×C71C22semidirect
76. #397×C71C22semidirect
77. #396×C71C22semidirect
78. #396×C71C22semidirect
81. #394×C71C22semidirect
82. #394×C71C22semidirect
83. #394×C71C22semidirect
84. #394×C71C22semidirect
85. #394×C71C22semidirect
86. #394×C71C22semidirect
87. #394×C71C22semidirect
88. #394×C71C22semidirect
89. #394×C71C22semidirect
90. #394×C71C22semidirect
91. #394×C71C22semidirect
92. #394×C71C22semidirect
93. #394×C71C22semidirect
94. #394×C71C22semidirect
95. #394×C71C22semidirect
96. #394×C71C22semidirect
97. #394×C71C22semidirect
104. #392×C71C22semidirect
105. #392×C71C22semidirect
106. #392×C71C22semidirect
107. #392×C71C22semidirect
108. #392×C71C22semidirect
113. #390×C71C22semidirect
114. #390×C71C22semidirect
115. #388×C71C22semidirect
116. #388×C71C22semidirect
117. #388×C71C22semidirect
118. #388×C71C22semidirect
119. #388×C71C22semidirect
120. #388×C71C22semidirect
121. #388×C71C22semidirect
122. #388×C71C22semidirect
123. #388×C71C22semidirect
124. #388×C71C22semidirect
125. #388×C71C22semidirect
126. #388×C71C22semidirect
127. #387×C71C22semidirect
128. #387×C71C22semidirect
129. #387×C71C22semidirect
130. #387×C71C22semidirect
131. #387×C71C22semidirect
132. #387×C71C22semidirect
133. #387×C71C22semidirect
134. #387×C71C22semidirect
149. #386×C71C22semidirect
150. #386×C71C22semidirect
151. #386×C71C22semidirect
152. #386×C71C22semidirect
153. #386×C71C22semidirect
154. #386×C71C22semidirect
155. #386×C71C22semidirect
156. #386×C71C22semidirect
157. #386×C71C22semidirect
158. #386×C71C22semidirect
159. #386×C71C22semidirect
160. #386×C71C22semidirect
161. #386×C71C22semidirect
162. #386×C71C22semidirect
167. #385×C71C22semidirect
168. #385×C71C22semidirect
169. #385×C71C22semidirect
170. #385×C71C22semidirect
171. #383×C71C22semidirect
172. #382×C71C22semidirect
173. #381×C71C22semidirect
174. #381×C71C22semidirect
175. #381×C71C22semidirect
179. #380×C71C22semidirect
180. #380×C71C22semidirect
181. #380×C71C22semidirect
869. #36794C71direct (N × H)
885. #2849C2×C71semidirect
886. #2847C2×C71semidirect
887. #2797C2×C71semidirect
888. #2786C2×C71semidirect
889. #2756C2×C71semidirect
890. #2753C2×C71semidirect
891. #2752C2×C71semidirect
892. #2749C2×C71semidirect
893. #2740C2×C71semidirect
894. #2709C2×C71semidirect
895. #2709C2×C71semidirect
896. #2706C2×C71semidirect
897. #2703C2×C71semidirect
898. #2699C2×C71semidirect
899. #2688C2×C71semidirect
900. #2673C2×C71semidirect
901. #2673C2×C71semidirect
902. #2671C2×C71semidirect
903. #2622C2×C71semidirect
904. #2617C2×C71semidirect
905. #2569C2×C71semidirect
906. #2543C2×C71semidirect
907. #2433C2×C71semidirect
908. #2424C2×C71semidirect
909. #2424C2×C71semidirect
910. #2418C2×C71semidirect
911. #2418C2×C71semidirect
912. #2408C2×C71semidirect
913. #2325C2×C71semidirect
914. #2318C2×C71semidirect
915. C2×#386C2×C71semidirect
916. C71#36794direct (N × H)
921. C2×#123C22×C71semidirect
922. C2×#123C22×C71semidirect
923. C2×#123C22×C71semidirect
924. C2×#123C22×C71semidirect
930. C2×#121C22×C71semidirect
931. C2×#121C22×C71semidirect
932. C2×#121C22×C71semidirect
933. C2×#121C22×C71semidirect
946. #400C22×C71semidirect
947. #400C22×C71semidirect
948. #399C22×C71semidirect
949. #399C22×C71semidirect
950. #398C22×C71semidirect
951. #398C22×C71semidirect
952. #398C22×C71semidirect
953. #397C22×C71semidirect
954. #397C22×C71semidirect
955. #397C22×C71semidirect
956. #397C22×C71semidirect
957. #397C22×C71semidirect
958. #397C22×C71semidirect
959. #397C22×C71semidirect
960. #397C22×C71semidirect
961. #397C22×C71semidirect
962. #396C22×C71semidirect
963. #396C22×C71semidirect
966. #394C22×C71semidirect
967. #394C22×C71semidirect
968. #394C22×C71semidirect
969. #394C22×C71semidirect
970. #394C22×C71semidirect
971. #394C22×C71semidirect
972. #394C22×C71semidirect
973. #394C22×C71semidirect
974. #394C22×C71semidirect
975. #394C22×C71semidirect
976. #394C22×C71semidirect
977. #394C22×C71semidirect
978. #394C22×C71semidirect
979. #394C22×C71semidirect
980. #394C22×C71semidirect
981. #394C22×C71semidirect
982. #394C22×C71semidirect
989. #392C22×C71semidirect
990. #392C22×C71semidirect
991. #392C22×C71semidirect
992. #392C22×C71semidirect
993. #392C22×C71semidirect
998. #390C22×C71semidirect
999. #390C22×C71semidirect
1000. #388C22×C71semidirect
1001. #388C22×C71semidirect
1002. #388C22×C71semidirect
1003. #388C22×C71semidirect
1004. #388C22×C71semidirect
1005. #388C22×C71semidirect
1006. #388C22×C71semidirect
1007. #388C22×C71semidirect
1008. #388C22×C71semidirect
1009. #388C22×C71semidirect
1010. #388C22×C71semidirect
1011. #388C22×C71semidirect
1012. #387C22×C71semidirect
1013. #387C22×C71semidirect
1014. #387C22×C71semidirect
1015. #387C22×C71semidirect
1016. #387C22×C71semidirect
1017. #387C22×C71semidirect
1018. #387C22×C71semidirect
1019. #387C22×C71semidirect
1034. #386C22×C71semidirect
1035. #386C22×C71semidirect
1036. #386C22×C71semidirect
1037. #386C22×C71semidirect
1038. #386C22×C71semidirect
1039. #386C22×C71semidirect
1040. #386C22×C71semidirect
1041. #386C22×C71semidirect
1042. #386C22×C71semidirect
1043. #386C22×C71semidirect
1044. #386C22×C71semidirect
1045. #386C22×C71semidirect
1046. #386C22×C71semidirect
1047. #386C22×C71semidirect
1052. #385C22×C71semidirect
1053. #385C22×C71semidirect
1054. #385C22×C71semidirect
1055. #385C22×C71semidirect
1056. #383C22×C71semidirect
1057. #382C22×C71semidirect
1058. #381C22×C71semidirect
1059. #381C22×C71semidirect
1060. #381C22×C71semidirect
1064. #380C22×C71semidirect
1065. #380C22×C71semidirect
1066. #380C22×C71semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C71×#28492
C71×#28472
C71×#27972
C71×#27862
C71×#27562
C71×#27532
C71×#27522
C71×#27492
C71×#27402
C71×#27092
C71×#27062
C71×#27032
C71×#26992
C71×#26882
C71×#26732
C71×#26712
C71×#26222
C71×#26172
C71×#25692
C71×#25432
C71×#24332
C71×#24242
C71×#24182
C71×#24082
C71×#23252
C71×#23182
C2×#386×C712
#3679471